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Finding the Fourth Proportional to 11,692, 16,132.39 and 7,441.53

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Solution

The fourth proportional to 11,692, 16,132.39 and 7,441.53 is: 10,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692 : 16,132.39 = 7,441.53 : x
  2. Step 2: Convert to fraction form
    11,692/16,132.39 = 7,441.53/x
  3. Step 3: Cross multiply
    11,692x = 16,132.39 × 7,441.53
  4. Step 4: Simplify right side
    11,692x = 120,049,664.16
  5. Step 5: Solve for x
    x = 120,049,664.16/11,692
  6. Step 6: Final answer
    x = 10,267.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.